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Finding the Fourth Proportional to 109,731.60, 164,597.40 and 97,484.40

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Solution

The fourth proportional to 109,731.60, 164,597.40 and 97,484.40 is: 146,226.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,731.60 : 164,597.40 = 97,484.40 : x
  2. Step 2: Convert to fraction form
    109,731.60/164,597.40 = 97,484.40/x
  3. Step 3: Cross multiply
    109,731.60x = 164,597.40 × 97,484.40
  4. Step 4: Simplify right side
    109,731.60x = 16,045,678,780.56
  5. Step 5: Solve for x
    x = 16,045,678,780.56/109,731.60
  6. Step 6: Final answer
    x = 146,226.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.